Find dy/dx by implicit differentiation.

Question

Find dy/dx by implicit differentiation.

(x + y²)¹⁰ = 9x² + 2

Answer 1

10(x+y^2)^9 (1 + 2yy') = 18x

1 + 2yy' = (9x/5) (x + y^2)^(-9)

y' = [(9x/5) (x + y^2)^(-9) - 1]/(2y)

= (9X)(X+y^2)^(-9)-1]/(10y)